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Finding the Fourth Proportional to 549.46, 824.18 and 275.27

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Solution

The fourth proportional to 549.46, 824.18 and 275.27 is: 412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.46 : 824.18 = 275.27 : x
  2. Step 2: Convert to fraction form
    549.46/824.18 = 275.27/x
  3. Step 3: Cross multiply
    549.46x = 824.18 × 275.27
  4. Step 4: Simplify right side
    549.46x = 226,872.03
  5. Step 5: Solve for x
    x = 226,872.03/549.46
  6. Step 6: Final answer
    x = 412.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.